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If x=sectheta-costheta and y=sec^n theta...

If `x=sectheta-costheta` and `y=sec^n theta- cos^n theta` then show that `(x^2+4)((dy)/(dx))^2=n^2(y^2+4)`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
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  2. Differentiate sin^(-1)((2x)/(1+2x)) wrt to tan^(-1)x , -1<x<1.

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  3. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

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  16. If f(x)=|cosx-sinx|,find f^(prime)(pi/6) and f^(prime)(pi/3)dot

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  18. If x=asec^3theta and y=atan^3theta, find (dy)/(dx) at theta=pi/3

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